The weak asymptotic solution of the phase field system in the case of confluence of free boundaries in the Stefan-Gibbs-Thomson problem

• Published in: Нелинейные граничные задачи
• Date: 2005
• Main Authors: Danilov, V.G., Rudnev, V.Yu.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169154
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The weak asymptotic solution of the phase field system in the case of confluence of free boundaries in the Stefan-Gibbs-Thomson problem / V.G. Danilov, V.Yu. Rudnev // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 57-73. — Бібліогр.: 12 назв. — англ.

Using the weak asymptotics method, we analyze the confluence of free boundaries in the Stefan-Gibbs-Thomson problem. We construct the global in time solution of the phase field system in this case.